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Finding the Third Proportional to 107,778.57 and 226,722.32

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Solution

The third proportional to 107,778.57 and 226,722.32 is: 476,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778.57 : 226,722.32 = 226,722.32 : x
  2. Step 2: Convert to fraction form
    107,778.57/226,722.32 = 226,722.32/x
  3. Step 3: Cross multiply
    107,778.57x = 226,722.32 × 226,722.32
  4. Step 4: Simplify right side
    107,778.57x = 51,403,011,413.52
  5. Step 5: Solve for x
    x = 51,403,011,413.52/107,778.57
  6. Step 6: Final answer
    x = 476,931.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.